Robust Tube MPC for Linear Systems With Multiplicative Uncertainty

Fleming James; Kouvaritakis Basil; Cannon Mark

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Robust Tube MPC for Linear Systems With Multiplicative Uncertainty

机译：具有乘法不确定性的线性系统的鲁棒管MPC

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Recently, a technical note ensured recursive feasibility in robust model predictive control with multiplicative uncertainty by applying terminal constraints to the degrees of freedom available to the controller while constructing polytopic tube cross sections. The current note extends this technique by bounding the tube parameters in norm and constructing a terminal set based on this bound. This reduces the online computational load and so allows longer prediction horizons to be used.

机译：最近，技术说明通过在构造多管横截面时将终端约束应用于控制器可用的自由度，从而确保了具有乘法不确定性的鲁棒模型预测控制的递归可行性。当前注释通过以标准方式限制电子管参数并基于此限制构造终端集来扩展此技术。这减少了在线计算负荷，因此允许使用更长的预测范围。

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《Automatic Control, IEEE Transactions on》 |2015年第4期|1087-1092|共6页
作者
Fleming James; Kouvaritakis Basil; Cannon Mark;
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正文语种 eng
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Additives; Electron tubes; Heuristic algorithms; Optimization; Robustness; Uncertainty; Vectors; Constrained systems; model predictive control; multiplicative model uncertainty;

机译：添加剂;电子管;启发式算法;优化;鲁棒性;不确定性;向量;约束系统;模型预测控制;可乘模型不确定性;

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1. Tube-based Anticipative Robust MPC for Systems with Multiplicative Uncertainty ? [J] . Tobias Peschke, Daniel G?rges IFAC PapersOnLine . 2020,第2期

机译：具有乘法不确定性
2. Robust MPC strategy with optimized polytopic dynamics for linear systems with additive and multiplicative uncertainty [J] . Munoz-Carpintero Diego, Cannon Mark, Kouvaritakis Basil Systems and Control Letters . 2015,第Null期

机译：具有加性和乘性不确定性的线性系统的鲁棒MPC策略以及优化的多点动力学
3. Robust nonlinear filter for nonlinear systems with multiplicative noise uncertainties, unknown external disturbances, and packet dropouts [J] . Min Li, Yingchun Zhang, Yunhai Geng, International Journal of Robust and Nonlinear Control . 2017,第18期

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机译：具有乘法不确定性的约束线性系统的顺序多级和管式鲁棒MPC
5. Uncertainty characterization in robust MPC using an approximate convex hull. [D] . Sartipizadeh, Hossein. 2017

机译：使用近似凸包的鲁棒MPC中的不确定性表征。
6. Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis [O] . Radek Matušů, Bilal Şenol, Celaleddin Yeroğlu 2011

机译：具有非结构化乘法不确定性的线性系统：建模和鲁棒稳定性分析
7. Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis [O] . Matušů Radek, Senol Bilal, Yeroglu Celaleddin 2017

机译：具有非结构化乘法不确定性的线性系统：建模和鲁棒稳定性分析

Robust Tube MPC for Linear Systems With Multiplicative Uncertainty

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